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Finding the Fourth Proportional to 10,087.97, 13,922.82 and 6,109.65

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Solution

The fourth proportional to 10,087.97, 13,922.82 and 6,109.65 is: 8,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,087.97 : 13,922.82 = 6,109.65 : x
  2. Step 2: Convert to fraction form
    10,087.97/13,922.82 = 6,109.65/x
  3. Step 3: Cross multiply
    10,087.97x = 13,922.82 × 6,109.65
  4. Step 4: Simplify right side
    10,087.97x = 85,063,557.21
  5. Step 5: Solve for x
    x = 85,063,557.21/10,087.97
  6. Step 6: Final answer
    x = 8,432.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.